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Paper Abstract and Keywords
Presentation 2018-03-08 09:50
Redundancy Analysis of Univarsal Lossless Source Coding via Estimation of Prior -- Relaxing an Ergodicity Condition --
Ryosuke Ikarashi, Tsutomu Kawabata (UEC) IT2017-105 ISEC2017-93 WBS2017-86
Abstract (in Japanese) (See Japanese page) 
(in English) Bayesian mixture with non-discrete prior has an asymptotic redundancy proportional to the half of log data length, with dimension of the prior as a proportional coefficient. In the case of singular prior, the proportional coefficient can be substituted by the $mathrm{Racute{e}nyi}$ information dimension of the prior. By the way, when we do not assume the knowledge of a prior, the estimation of prior is necessary. For encoding new data, we use the knowledge of a past series of data sequences, each of which is generated by the probability with the parameter output by the system. For this scheme, an asymptotic redundancy of Bayesian mixture with estimated prior is improved depending on the number of samples with some conditions. In this paper, we propose the result with relaxing an ergodicity condition.
Keyword (in Japanese) (See Japanese page) 
(in English) universal soutce coding / redundancy analysis / singular prior / Renyi information dimension / prior estimation / / /  
Reference Info. IEICE Tech. Rep., vol. 117, no. 487, IT2017-105, pp. 13-18, March 2018.
Paper # IT2017-105 
Date of Issue 2018-03-01 (IT, ISEC, WBS) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
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reproduction
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF IT2017-105 ISEC2017-93 WBS2017-86

Conference Information
Committee WBS IT ISEC  
Conference Date 2018-03-08 - 2018-03-09 
Place (in Japanese) (See Japanese page) 
Place (in English) Katsusika Campas, Tokyo University of Science 
Topics (in Japanese) (See Japanese page) 
Topics (in English) joint meeting of IT, ISEC, and WBS 
Paper Information
Registration To IT 
Conference Code 2018-03-WBS-IT-ISEC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Redundancy Analysis of Univarsal Lossless Source Coding via Estimation of Prior 
Sub Title (in English) Relaxing an Ergodicity Condition 
Keyword(1) universal soutce coding  
Keyword(2) redundancy analysis  
Keyword(3) singular prior  
Keyword(4) Renyi information dimension  
Keyword(5) prior estimation  
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1st Author's Name Ryosuke Ikarashi  
1st Author's Affiliation The University of Electro-Communications (UEC)
2nd Author's Name Tsutomu Kawabata  
2nd Author's Affiliation The University of Electro-Communications (UEC)
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Speaker Author-1 
Date Time 2018-03-08 09:50:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2017-105, ISEC2017-93, WBS2017-86 
Volume (vol) vol.117 
Number (no) no.487(IT), no.488(ISEC), no.489(WBS) 
Page pp.13-18 
#Pages
Date of Issue 2018-03-01 (IT, ISEC, WBS) 


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